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solong [7]
3 years ago
9

Pleasee help me with this problemm

Mathematics
2 answers:
Anton [14]3 years ago
5 0
(sqrt18 + 2 sqrt3)^2

sqrt18  = sqrt9 * sqrt2  = 3 sqrt2

(3 sqrt2 + 2 sqrt3)(3 sqrt2 + 2 sqrt3)

=  9 *2  + 6sqrt6  + 6 sqrt6 + 4*3

= 30 + 12 sqrt6   answer
iragen [17]3 years ago
3 0
(_/18+2_/3)^(2

=(3_/2^(2 + (2)(2_/3)(3_/2) + 2_/3^(2)

=18+ 12_/6 +12

=30+12_/6

hope this helps

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Answer:

7x=11

Step-by-step explanation:

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Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. If Hugh bought
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He bought 4 books.  

3.95m + 8.95b = 47.65

If he bought 3 magazines, m =3
(3.95)3 +8.95b = 47.65
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kykrilka [37]

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58.25

Step-by-step explanation:

C is the total cost of the meal, fifty-eight dollars and twenty-five cents.

First, find the cost of the meal, which is forty-eight dollars and seventy-five cents.

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Substitute the known values. Amount of sales tax divided by forty-eight dollars and seventy-five cents equals four point five divided by one hundred.

Cross multiply. One hundred times amount of the sales tax equals forty-eight dollars and seventy-five cents times four point five.

Divide both sides by one hundred to find that the sales tax equals two dollars and nineteen cents.

Then, to calculate the amount of the tip, use the proportion, amount of tip divided by cost of meal equals tip percent rate divided by one hundred.

Again, substitute the known values into the proportion, amount of tip divided by forty-eight dollars and seventy-five cents equals fifteen divided by one hundred.

Then, cross multiply. One hundred times amount of tip equals forty-eight dollars and seventy-five cents times fifteen.

And, divide both sides by one hundred to find that the tip equals seven dollars and thirty-one cents.

Finally, add the amounts together to find the total cost of the meal was fifty-eight dollars and twenty-five cents.

4 0
2 years ago
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A runner runs around a circular track. He completes one lap at a time of t = 269 s at a constant speed of v = 4.6 m/s. What is t
AURORKA [14]

Answer:

\boxed{\text{197 m}}

Step-by-step explanation:

The formula relating distance (d), speed (s), and time (t) is

d = st

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2.Calculate the track radius

The distance travelled is the circumference of a circle

\begin{array}{rcl}C & = & 2 \pi r\\1240 & = & 2 \pi r\\\\r & = & \dfrac{1240}{2 \pi }\\\\& = & 197\\\end{array}\\\text{The radius of the track is }\boxed{\textbf{197 m}}

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An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining.
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Answer:

98%  Confidencce Interval is ( 3030.6, 7467.4 )

Step-by-step explanation:

Given that:

Sample size n_1 = 71

Sample size n_2 = 31

Sample mean \overline x_1 = 41628

Sample mean x_2 = 36,379

Population standard deviation \sigma_1 = 4934

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At 98% confidence interval level, the level of significcance = 1 - 0.98 = 0.02

Critical value at z_{0.02/2} = 2.33

The Margin of Error = z \times \sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2} }

= 2.33 \times \sqrt{\dfrac{4934^2}{71}+\dfrac{4180^2}{31} }

= 2.33 \times \sqrt{\dfrac{24344356}{71}+\dfrac{17472400}{31} }

= 2.33 \times \sqrt{906504.06 }

= 2218.40

The Lower limit = ( \overline x_1 - \overline x_2) - (Margin \ of \ error)

= ( 41628 - 36379 ) - ( 2218.40)

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The upper limit = ( \overline x_1 - \overline x_2) + (Margin \ of \ error)

= ( 41628 - 36379 ) + ( 2218.40)

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= 7467.4

∴  98%  Confidencce Interval is ( 3030.6, 7467.4 )

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